Professor Li's current research interets are computational nano-mechanics and multiscale simulations, computational statistical physics, soft matter physics and mechanics of colloidal, biomechanics, in particluar, cell mechanics. In specific, Professor Li and his research group have been working on:
- Atomistic and multiscale modeling and simulations of dislocation dynamics, dislocation pattern dynamics, and crystal plasticity;
- Computational nanoscale contact mechanics and multiscale modelings of soft matters; Soft matter mechanics and cell mechanics. In specific, Professor Li's group has been developing novel soft matter cell models to simulate contact, adhesion, spreading, and motility of cells;
- Multiscale modeling and simulations of fracture such as simulations of crack growth at small scales. In specific, Professor Li's group has been developing novel computational algorithms to simulate high-speed impact, penetration, and subsequent fragmentations, explosion of reactive materials and related structural responses;
- Developing computational methods to model mechanical properties and failures of amorphous materials;
- Mechanics and physics of ferroelectric and piezoelectric, in particular, wave propagation in ferroelectric and piezoelectric media;
- Using first-principle methods and molecular dynamics to study desalination, waste water separation, and aerosol nucleations.
- Developing particle methods to simulate geomaterial failures under high strain rate impacts and blast loads, and
- Particle method modeling and simulation of fluid flows, bubble explosion, and complex flows.
Some examples are:
- Multiscale simulation of brittle-to-ductile transition in amorphous materials;
- Developing multiscale dislocation pattern dynamics method and simulate cyclic crystal plasticity;
- Study cell motility and mechanotransduction;
- Study soil fragmentation due to buried explosives;
- Meshfree simulation of failure of marine structures;
- Atomistic and multiscale modeling and simulations of cementitious materials;
- Probabilistic and intelligent estimation modeling of material and structure fatigue;
- Design nano-machine for desalination and waste water cleaning and separation;
- Develop multiscale models to study crystal defect motion, and
- Modeling and simulation of dentritic growth and failure of battery materials.
Moreover, Professor Li's group is also interested in using meshfree particle methods and generalized finite element methods to simulate (I) Fluid-structure interaction problems, which includes offshore structures and marine strctures, and (II) Material and infrastructure failures, such as shear band formations, ductile fracture, and fatigue crack propagations in metals, concrete structures, and geo-materials.